and \(\tilde{\cal A}_{A,B,C}\)  have the same formal expression as
\({\cal A}_{A,B,C}\)  [1]} with the replacement [2]}Note that the mismatch in dimensions between \(V^{^1S_0}_{\nu \, {\rm L}} ({\mathbf {q}})\)  and
\(V^{^1S_0}_{O_1} ({\mathbf {q}}) \) 
is compensated by the additional powers of \(1/|{\mathbf {k}}|\)  in Eq. (REF ).
\(V^{^1S_0}_{\nu \, {\rm L}} ({\mathbf {q}})\ \rightarrow \ V^{^1S_0}_{O_1} ({\mathbf {q}}) =\ g_A^2\, \left[\frac{5 g_1^{\pi \pi }}{6} \, \frac{M_\pi ^2 \, {\mathbf {q}}^2}{({\mathbf {q}}^2 + M_\pi ^2)^2}- \left( g_1^{\pi {N}} - \frac{5 g_1^{\pi \pi }}{6} \right)\, \frac{M_\pi ^2}{{\mathbf {q}}^2 + M_\pi ^2}\right]\,.\) 
